Find all the zeros for: y=x^{3}-2x^{2}-5x+6

Barbara Schroder

Barbara Schroder

Answered question

2021-11-17

Find all the zeros for: y=x32x25x+6

Answer & Explanation

Symbee

Symbee

Beginner2021-11-18Added 17 answers

Step 1
Given that,
y=x32x25x+6
and we have to calculate the zeros of the function.
We know that,
for zeros of the function we find the fractions of the function.
Step 2
If we put x=2 in given function then the value of function is zero,
thus we can say that, (x+2) is a fraction of given function.
And when we divide the function by (x2) then, quotient will be (x24x+3).
thus we can write the given function as,
(x2)(x24x+3)=0
(x2)(x23xx+3)=0
(x2)[x(x3)(x3)]=0
(x2)(x3)(x1)=0
x=1,2,3
Answer: Thus zeros of the given function are (1, 2, 3).

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